Find the confidence interval specified.
A random sample of 93 light bulbs had a mean life of
![](data:image/png;base64, /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAUACsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9CNJ+E/ijTtVsru4+M/jjVLeCZJZLG7s9CWG5VWBMbmPTEcKwGCUdWwThgcEel181/Dz/AISPSvizAL+PxzdfDfVLu4ufDrX730k9jeAbJY78N+/W2fEskAuCYxvO7afs6r0Xxi8KfGnWfGH2jwH4i/svQvs6L5H9v2Vl+9BO4+XNoF83pz52D/dXvN9E+/4ev9du42rNrt/X9fNdD1zxV4osPBmhXOr6n9qNnb7Qy2NlNeTsWYIqpDCjySMWYABFJ56Vn+EviJo/jPRrvVLOLVtPsrRmWZtf0W90h1wu4tsu4omKgH74BXg88GuV8RW95pvwb0628cDxBql3H9l/tW58MM97eh0kVzIptLeCVxuVQTb26OAxKouCy+aRweNvCPgPXdR8PWOq+JvBv9rxX1jpXjbUNUbVPsAt0LoF+xXl84a5yRDNGZAoccIVAbdlJ9vu+f8AXd9Bpcyjbd9P66nuOn/E/wAM6t4b0TXbHUvtuna3Gsumtb28skt2hG7ckQUyEBfmPy/KOTgc11Vfnn8HP+Fl6Z4H0u7msvGngrxLB4RsdE8Ow6Z4XuL2N7mB7gy292LuyH2ZZHa3LuwiVgF2XDCPI/QDR3vZdJsn1KOKHUWgQ3McBzGku0bwpPUA5xW9WEYVJRg7pPR+XTXq7ava11ddXLavZO//AALfrt3sXKKKKxAKKKKACiiigD//2Q==)
hours. Assume that
![](data:image/png;base64, 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)
Construct a 90% confidence interval for the mean life, μ, of all light bulbs of this type.
◦ 540.7 to 551.3 hours
◦ 539.0 to 553.0 hours
◦ 539.7 to 552.3 hours
◦ 541.6 to 550.4 hours